Question

Ava decided to experiment with different forms of exercise. ​ ​She spent 7/5 hours weight lifting, 2/5 of an hour swimming, and 4/5 of an hour running. ​ ​How many hours did Ava spend exercising?

Answer 1

Answer:

Total time spent for exercising is 2 hours and 36 minutes or $2\frac{3}{5}\ hours$

Step-by-step explanation:

Given:

Time spent in weight lifting is, $T_1=\frac{7}{5}\ h$

Time spent in swimming is, $T_2=\frac{2}{5}\ h$

Time spent in running is, $T_3=\frac{4}{5}\ h$

Total time spent in all these exercises is equal to the sum of hours spent for each exercise. Therefore,

Total time spent = Time spent for weight lifting + Time spent for swimming + Time spent for running.

$T_{Total}=T_1+T_2+T_3\\\\T_{Total}=\frac{7}{5}+\frac{2}{5}+\frac{4}{5}\\\\\textrm{Denominator is same. So, we add all the numerators and divide with the same denominator}\\\\T_{Total}=\frac{7+2+4}{5}\\\\T_{Total}=\frac{13}{5}=2\frac{3}{5}\ h\\\\or\\\\T_{Total}=2\ h+(\frac{3}{5}\times 60)\ min\\T_{Total}= 2\ h\ 36\ min$

Therefore, total time spent for exercising is 2 hours and 36 minutes or $2\frac{3}{5}\ hours$